Math is invisible. Unlike physics, chemistry, and biology we can’t see it, smell it, or even directly observe it in the universe. And so that has made a lot of really smart people ask, does it actually even EXIST?!?! Similar to the tree falling in the forest, there are people who believe that if no person existed to count, math wouldn’t be around . .at ALL!!!! But is this true? Do we live in a mathless universe? Or if math is a real entity that exists, are there formulas and mathematical concepts out there in the universe that are undiscovered? Or is it all fiction? Whew!! So many questions, so many theories… watch the episode and let us know what you think!

**Is Math a Feature of the Universe or a Feature of Human Creation? | Idea Channel | PBS**

Hat tip boingboing

Category: Mathematics, Philosophy, Video

Please use the comments to demonstrate your own ignorance, unfamiliarity with empirical data and lack of respect for scientific knowledge. Be sure to create straw men and argue against things I have neither said nor implied. If you could repeat previously discredited memes or steer the conversation into irrelevant, off topic discussions, it would be appreciated. Lastly, kindly forgo all civility in your discourse . . . you are, after all, anonymous.

If it doesn’t exist, can you fail it?

I think the question on “Does Math Actually Exist” is probably not the right one. It is analogous to asking if “Does English Actually Exist”. Perhaps the right way to see math is to look at it as a tool for analysis and no more just like English is a tool for communication. Any attempt to attach more importance to Math is probably a meaningless, futile exercise. If my memory serves right Courant’s “What is Mathematics” should address this question in a more elegant fashion.

As you say, Math as a tool is the right way to look at it. However, its power as a tool should not be underestimated, just as language is powerful too.

Cool Idea. I vote for Human Creation. Computers don’t use it, just binary, on/off.

Does Don Quixote exist? As a real person, no. As a fictional character, yes. The right answer depends on what form of existence the questioner is looking for. He needs to spell that out when asking whether something exists or the question becomes meaningless.

Mathematics is the basis of life. It exists as mountains do. Newtonian 3 laws of motion that drove immense scientific progress was captioned as “Mathematical basis of natural philosophy” !

Roger Bacon Has this “All science requires mathematics. The knowledge of mathematical things is almost innate in us. This is the easiest of sciences, a fact which is obvious in that no one’s brain rejects it; for laymen and people who are utterly illiterate know how to count and reckon.”

As a mathematical scientist by training sometimes I wonder how disorderly life would be without it!

Leopard, did your math professors tell you they were scientists? Tsk Tsk. Mathematics is merely a tool of the mind that we use to create models to help us explain the natural universe around us. All these models are wrong, of course. That is why we must constantly create new models when we learn more about nature. These new models are also wrong, and always will be. Hopefully, over centuries we get a little better at explaining nature. But, of course we never really will, no matter how smart the species gets.

As a geologist, I can explain crystallography, radioactive dating, chemical reactions in magma melts, and just about everything else with mathematics added in to the model/explanation. But I doubt if you could show me a 2 pi r squared goat or river or star out there anywhere. Be content with being a handyman of mathematics. After all, tools of the mind are certainly more powerful than a hammer.

Well said, TerryC. Math is a tool that has proven very useful at helping mankind not just to understand but to *control* the universe (Heidegger said this I believe). It does not tell us anything about Absolute Truth, it tells us a particular, perspectival truth, a partial approximation to Truth. Calculus itself is a fiction, but a very useful fiction in approximating continuity — which escapes human intelligibility.

The answers the universe gives us are in large part determined by the questions we pose.

IMHO.

At any given moment, anything outside one’s sphere of perception might not exist.

Petey,

w/ seneca, above..

“Context is crucial…”

or, IOW, YFB!~

as an aside, do you think this dude gets paid by the stroke (chinstroke, that is..), or, by the Pound, of Wool, he gathers?

I know that complex manifolds

http://en.wikipedia.org/wiki/Complex_manifold

exist because I have several stacked in my closet.

If human reality is collectively agreed-upon pattern recognition of sensory perceptions then math may be an elegant human construct to compare, measure and organize those perceived patterns?

Ah the navel gazing…

But if math has “no empirical component,” as the host says, then how can empiricism apply to physics which requires math for its basis of measurement?

Some aspects of pure mathematics are useless, and might as well not exist, except when a clever bit of mathematical wizardry proves itself useful when theoretical physics requires a new form of mathematics to describe heretofore undiscovered concepts.

For me, personally, natural mathematics does exist. It exists in the peculiarly uniform Fibonacci sequence that expresses a linear measurement between the swirls of a nautilus shell. Which is like the swirling bands of a hurricane. Which is like the spirals in a pine cone.

Mathematics may be human, but arithmetic is more widely disseminated, with some birds able to count the eggs in their nest and bees able to provide measures of direction and distance. Evolution can solve many problems unconsciously, but sometimes the solution brings consciousness to bear.

Rodger Penrose’s work “The Emperor’s New Mind” is probably the most comprehensive analysis of this question – is maths a product of the brain or is something separate – just out there in the Universe. Plato and Einstein certainly believe maths existed as an entity. Penrose concludes that we need to know more about the brain and how quantum mechanics operates before we can answer this question with any “certainty”. Until then I accept it as axiomatic that Maths exists beyond our brains.

Math, for the most part, appears to exist. When we see other organisms using division in an effective manner, does that count as observing math in action?

http://phys.org/news/2013-06-sums-night.html

Math is a quantitative language.

Exactly. And useful to communicate information to oneself and maybe a few others.

Succinct and correct. It is a human construct. Natural science (and natural scientists) deal with the interactions of matter, energy, time and space. I have yet to hear any mathematician, or anyone else, explain to me where in matter, energy, time and space their “math” is. Important-extremely so. Natural-no.

We are all given the math we deserve.

I thoroughly enjoy reading Mr. Ritholtz’s comments on economics and finance. He, like all of us, needs to recognize when he has wandered so far beyond his own comprehension as to appear foolish. The question he poses here is meaningless, not entirely unlike asking if colorless green ideas snore when they sleep. If Mr. Ritholtz is interested in understanding why this is so, he might spend a few dozen hours beginning with Wittgenstein ff.

I am familiar with Wittgenstein’s work and his importance to philosophy.

Regardless of HIS views, it does not mean that I will not share what I thought of as an interesting discussion of the question of subjectivity versus objectivity in regards to mathematics. If you wish to submit your PhD. thesis on Tractatus Logico-Philosophicus or Philosophical Investigations, by all means lets have it.

But why should I allow your views of a dead philosopher prevent me from sharing something interesting? ESPECIALLY out of my expertise? It is only in reaching beyond our comfort areas that we grow. Its a shame you are not capable of understanding such a positive outlook.

“If you wish to strive for peace of soul and pleasure, then believe; if you wish to be a devotee of truth, then inquire…” -Nietzsche

I thought math was man made until I studied algebraic topology (and dabbling in category theory cemented the conclusion

I finally registered to comment on this topic. This is an ancient question, boiling down to what came first the mind or matter. Did a mind or minds create matter and the rest of reality or did the mind spring forth from matter and energy? If the mind was first then of course math a creation of the mind is part of reality. If not then even our perception of conscience is an illusion. Same for love, freedom and other such ethereal things.

I thought math was man made until I studied algebraic topology (and dabbling in category theory cemented the conclusion).

Algebraic topology shows that there are algebraic concepts embedded in the topological structure of spaces. That is, it reveals that the “creators” of topology created rules to define the things they wanted to study, and contained within those rules are structures equivalent to the rules used to study completely unrelated things.

No one “made” that relationship between abstract algebra and topology. That connection. Was already there, deeper than we can directly reach.

[...] the PBS Idea Channel (HT: Barry Ritholtz): do mathematical facts exist objectively in the universe waiting to be discovered? Or are these [...]